I'm looking for the name of a puzzle where the goal is to activate (or deactivate) a set of buttons.
If you activate a button, it switches the state of this button and of its neighbour.
Say you start in this situation
0 0 0 0 0 0 0 0
And you activate the top left button, then you end up in this state.
1 1 0 1 0 0 0 0
If you activate the middle left button, it switches it and its neighbour (so it switches the whole left column). Result states follows :
0 1 0 0 0 1 0 0
I understand it is a simple permutation game, but I'd like to know if it has a special name. It's often encountered in video games.